TSTP Solution File: SEU310+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU310+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 08:40:40 EDT 2022

% Result   : Theorem 9.38s 2.99s
% Output   : CNFRefutation 9.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   68 (  11 unt;  40 nHn;  61 RR)
%            Number of literals    :  273 (  67 equ; 167 neg)
%            Maximal clause size   :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-3 aty)
%            Number of variables   :  112 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1113,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | X4 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1113) ).

cnf(i_0_1308,negated_conjecture,
    element(esk260_0,powerset(powerset(the_carrier(esk259_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1308) ).

cnf(i_0_1310,negated_conjecture,
    topological_space(esk259_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1310) ).

cnf(i_0_1309,negated_conjecture,
    top_str(esk259_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1309) ).

cnf(i_0_1305,negated_conjecture,
    ( in(esk261_1(X1),X1)
    | in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(X1)),esk260_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1305) ).

cnf(i_0_1306,negated_conjecture,
    ( in(esk261_1(X1),X1)
    | in(esk261_1(X1),powerset(the_carrier(esk259_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1306) ).

cnf(i_0_1115,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk204_2(X1,X2) = esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1115) ).

cnf(i_0_1114,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1114) ).

cnf(i_0_1105,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | X4 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1105) ).

cnf(i_0_1116,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1116) ).

cnf(i_0_1307,negated_conjecture,
    ( ~ in(esk261_1(X1),X1)
    | ~ in(esk261_1(X1),powerset(the_carrier(esk259_0)))
    | ~ in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(X1)),esk260_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1307) ).

cnf(i_0_1097,plain,
    ( in(X1,esk207_2(X2,X3))
    | X4 != X1
    | esk206_2(X2,X3) != esk205_2(X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ in(X4,powerset(the_carrier(X2)))
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1097) ).

cnf(i_0_1106,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1106) ).

cnf(i_0_1107,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk206_2(X1,X2) = esk204_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1107) ).

cnf(i_0_1100,plain,
    ( in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk206_2(X1,X2) != esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1100) ).

cnf(i_0_1099,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk206_2(X1,X2) != esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1099) ).

cnf(i_0_1108,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1108) ).

cnf(i_0_1098,plain,
    ( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
    | esk206_2(X1,X3) != esk205_2(X1,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X2,esk207_2(X1,X3))
    | ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bvhhiqdp/lgb.p',i_0_1098) ).

cnf(c_0_1329,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | X4 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1113 ).

cnf(c_0_1330,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(powerset(the_carrier(X1))))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ in(X3,powerset(the_carrier(X1))) ),
    inference(er,[status(thm)],[c_0_1329]) ).

cnf(c_0_1331,negated_conjecture,
    element(esk260_0,powerset(powerset(the_carrier(esk259_0)))),
    i_0_1308 ).

cnf(c_0_1332,negated_conjecture,
    topological_space(esk259_0),
    i_0_1310 ).

cnf(c_0_1333,negated_conjecture,
    top_str(esk259_0),
    i_0_1309 ).

cnf(c_0_1334,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(X1,esk207_2(esk259_0,esk260_0))
    | ~ in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,powerset(the_carrier(esk259_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1335,negated_conjecture,
    ( in(esk261_1(X1),X1)
    | in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(X1)),esk260_0) ),
    i_0_1305 ).

cnf(c_0_1336,negated_conjecture,
    ( in(esk261_1(X1),X1)
    | in(esk261_1(X1),powerset(the_carrier(esk259_0))) ),
    i_0_1306 ).

cnf(c_0_1337,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk204_2(X1,X2) = esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1115 ).

cnf(c_0_1338,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1114 ).

cnf(c_0_1339,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(esk261_1(X1),esk207_2(esk259_0,esk260_0))
    | in(esk261_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1335]),c_0_1336]) ).

cnf(c_0_1340,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | esk208_3(esk259_0,esk260_0,X1) = X1
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1341,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | X4 != X3
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X4,powerset(the_carrier(X1)))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1105 ).

cnf(c_0_1342,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1338,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1343,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(esk261_1(esk207_2(esk259_0,esk260_0)),esk207_2(esk259_0,esk260_0)) ),
    inference(ef,[status(thm)],[c_0_1339]) ).

cnf(c_0_1344,plain,
    ( esk204_2(X1,X2) = esk205_2(X1,X2)
    | in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1116 ).

cnf(c_0_1345,negated_conjecture,
    ( esk208_3(esk259_0,esk260_0,esk261_1(esk207_2(esk259_0,esk260_0))) = esk261_1(esk207_2(esk259_0,esk260_0))
    | esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(esk261_1(esk207_2(esk259_0,esk260_0)),powerset(the_carrier(esk259_0))) ),
    inference(spm,[status(thm)],[c_0_1340,c_0_1336]) ).

cnf(c_0_1346,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(X3,esk207_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(powerset(the_carrier(X1))))
    | ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ in(X3,powerset(the_carrier(X1))) ),
    inference(er,[status(thm)],[c_0_1341]) ).

cnf(c_0_1347,negated_conjecture,
    ( ~ in(esk261_1(X1),X1)
    | ~ in(esk261_1(X1),powerset(the_carrier(esk259_0)))
    | ~ in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(X1)),esk260_0) ),
    i_0_1307 ).

cnf(c_0_1348,negated_conjecture,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(esk207_2(esk259_0,esk260_0))),esk260_0) ),
    inference(spm,[status(thm)],[c_0_1342,c_0_1343]) ).

cnf(c_0_1349,plain,
    ( esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(esk261_1(esk207_2(esk259_0,esk260_0)),powerset(the_carrier(esk259_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1344,c_0_1345]),c_0_1332]),c_0_1333]),c_0_1331])]),c_0_1336]) ).

cnf(c_0_1350,plain,
    ( in(X1,esk207_2(X2,X3))
    | X4 != X1
    | esk206_2(X2,X3) != esk205_2(X2,X3)
    | ~ top_str(X2)
    | ~ topological_space(X2)
    | ~ in(X4,powerset(the_carrier(X2)))
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
    i_0_1097 ).

cnf(c_0_1351,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk204_2(esk259_0,esk260_0)
    | in(X1,esk207_2(esk259_0,esk260_0))
    | ~ in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,powerset(the_carrier(esk259_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1346,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1352,negated_conjecture,
    esk204_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1348]),c_0_1343]),c_0_1349]) ).

cnf(c_0_1353,plain,
    ( in(X1,esk207_2(X2,X3))
    | esk206_2(X2,X3) != esk205_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(powerset(the_carrier(X2))))
    | ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
    | ~ in(X1,powerset(the_carrier(X2))) ),
    inference(er,[status(thm)],[c_0_1350]) ).

cnf(c_0_1354,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(set_difference(cast_as_carrier_subset(X1),X3),X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1106 ).

cnf(c_0_1355,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(X1,esk207_2(esk259_0,esk260_0))
    | ~ in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,powerset(the_carrier(esk259_0))) ),
    inference(rw,[status(thm)],[c_0_1351,c_0_1352]) ).

cnf(c_0_1356,negated_conjecture,
    ( in(esk261_1(X1),esk207_2(esk259_0,esk260_0))
    | in(esk261_1(X1),X1)
    | esk206_2(esk259_0,esk260_0) != esk205_2(esk259_0,esk260_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1335]),c_0_1332]),c_0_1333]),c_0_1331])]),c_0_1336]) ).

cnf(c_0_1357,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk206_2(X1,X2) = esk204_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1107 ).

cnf(c_0_1358,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk204_2(esk259_0,esk260_0)
    | in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1354,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1359,negated_conjecture,
    ( in(esk261_1(X1),esk207_2(esk259_0,esk260_0))
    | in(esk261_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_1335]),c_0_1336]),c_0_1356]) ).

cnf(c_0_1360,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk204_2(esk259_0,esk260_0)
    | esk208_3(esk259_0,esk260_0,X1) = X1
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1357,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1361,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(set_difference(cast_as_carrier_subset(esk259_0),X1),esk260_0)
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(rw,[status(thm)],[c_0_1358,c_0_1352]) ).

cnf(c_0_1362,negated_conjecture,
    in(esk261_1(esk207_2(esk259_0,esk260_0)),esk207_2(esk259_0,esk260_0)),
    inference(ef,[status(thm)],[c_0_1359]) ).

cnf(c_0_1363,plain,
    ( in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | esk206_2(X1,X2) != esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1100 ).

cnf(c_0_1364,plain,
    ( esk208_3(X1,X2,X3) = X3
    | esk206_2(X1,X2) != esk205_2(X1,X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1099 ).

cnf(c_0_1365,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | esk208_3(esk259_0,esk260_0,X1) = X1
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(rw,[status(thm)],[c_0_1360,c_0_1352]) ).

cnf(c_0_1366,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | in(set_difference(cast_as_carrier_subset(esk259_0),esk261_1(esk207_2(esk259_0,esk260_0))),esk260_0) ),
    inference(spm,[status(thm)],[c_0_1361,c_0_1362]) ).

cnf(c_0_1367,plain,
    ( in(X1,powerset(the_carrier(X2)))
    | esk206_2(X2,X3) != esk205_2(X2,X3)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(powerset(the_carrier(X2))))
    | ~ in(X1,esk207_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_1363,c_0_1364]) ).

cnf(c_0_1368,plain,
    ( esk206_2(X1,X2) = esk204_2(X1,X2)
    | in(esk208_3(X1,X2,X3),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X3,esk207_2(X1,X2))
    | ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
    i_0_1108 ).

cnf(c_0_1369,negated_conjecture,
    ( esk208_3(esk259_0,esk260_0,esk261_1(esk207_2(esk259_0,esk260_0))) = esk261_1(esk207_2(esk259_0,esk260_0))
    | esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0) ),
    inference(spm,[status(thm)],[c_0_1365,c_0_1362]) ).

cnf(c_0_1370,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0)
    | ~ in(esk261_1(esk207_2(esk259_0,esk260_0)),powerset(the_carrier(esk259_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1366]),c_0_1362])]) ).

cnf(c_0_1371,plain,
    ( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
    | esk206_2(X1,X3) != esk205_2(X1,X3)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ in(X2,esk207_2(X1,X3))
    | ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
    i_0_1098 ).

cnf(c_0_1372,negated_conjecture,
    ( in(X1,powerset(the_carrier(esk259_0)))
    | esk206_2(esk259_0,esk260_0) != esk205_2(esk259_0,esk260_0)
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1367,c_0_1331]),c_0_1332]),c_0_1333])]) ).

cnf(c_0_1373,plain,
    esk206_2(esk259_0,esk260_0) = esk205_2(esk259_0,esk260_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_1369]),c_0_1352]),c_0_1332]),c_0_1333]),c_0_1331]),c_0_1362])]),c_0_1370]) ).

cnf(c_0_1374,negated_conjecture,
    ( esk206_2(esk259_0,esk260_0) != esk205_2(esk259_0,esk260_0)
    | ~ in(esk261_1(X1),powerset(the_carrier(esk259_0)))
    | ~ in(esk261_1(X1),esk207_2(esk259_0,esk260_0))
    | ~ in(esk261_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1371]),c_0_1332]),c_0_1333]),c_0_1331])]) ).

cnf(c_0_1375,negated_conjecture,
    ( in(X1,powerset(the_carrier(esk259_0)))
    | ~ in(X1,esk207_2(esk259_0,esk260_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1372,c_0_1373])]) ).

cnf(c_0_1376,negated_conjecture,
    ( ~ in(esk261_1(X1),powerset(the_carrier(esk259_0)))
    | ~ in(esk261_1(X1),esk207_2(esk259_0,esk260_0))
    | ~ in(esk261_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1374,c_0_1373])]) ).

cnf(c_0_1377,negated_conjecture,
    in(esk261_1(esk207_2(esk259_0,esk260_0)),powerset(the_carrier(esk259_0))),
    inference(spm,[status(thm)],[c_0_1375,c_0_1336]) ).

cnf(c_0_1378,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1376,c_0_1377]),c_0_1362])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU310+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 00:47:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.38/2.99  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.38/2.99  # No SInE strategy applied
% 9.38/2.99  # Trying AutoSched0 for 150 seconds
% 9.38/2.99  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 9.38/2.99  # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.38/2.99  #
% 9.38/2.99  # Preprocessing time       : 0.025 s
% 9.38/2.99  
% 9.38/2.99  # Proof found!
% 9.38/2.99  # SZS status Theorem
% 9.38/2.99  # SZS output start CNFRefutation
% See solution above
% 9.38/2.99  # Training examples: 0 positive, 0 negative
% 9.38/2.99  
% 9.38/2.99  # -------------------------------------------------
% 9.38/2.99  # User time                : 0.029 s
% 9.38/2.99  # System time              : 0.011 s
% 9.38/2.99  # Total time               : 0.040 s
% 9.38/2.99  # Maximum resident set size: 7120 pages
% 9.38/2.99  
%------------------------------------------------------------------------------